Question

1. Determine the spring constant for the stiffer spring. Your answer should include a plot of yur data. NOTE the stiss spring has maximum lenght of 17 cm .

2.Determine the spring constant for the stretchy spring. NOTE your answer should include a plot of your data. The strecthy spring has a maximum length of 25 cm

3.Is there any correletion between the spring constant values for teh spring and their apparent stiffness?

Answer 1

1. From the following data for the stiffer spring

Displacement	Measured Force
0	0
0.01	1.01
0.02	1.98
0.03	2.99
0.04	4.03
0.05	5.01
0.06	5.89
0.07	6.87
0.08	7.79
0.09	8.82
0.1	9.78

graph obtained :

from the graph, spring constant is the slope , k = 97.445 N/m

2. For the strechy spring the data is as under :

Displacement	Measured Force
0	0
0.01	0.58
0.02	0.98
0.03	1.45
0.04	2.08
0.05	2.39
0.06	2.98
0.07	3.45
0.08	3.88
0.09	4.45
0.1	4.98

the plot is as under :

from the plot, slope is spring constant, k = 49.073 N/m

3. We can see that strechiness of the spring is inversly proportional to its spring constant, or in other words, spring constant values are directly proportional to apparent stiffness of spring